2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65360This survey paper is not a complete reference guide to number-theoretical applications of ergodic theory. Instead, it considers an approach to a class of problems involving Diophantine properties of $n$-tuples of real numbers, namely, describes a specific dynamical system which is naturally connected with these problems.23 pagesDynamical SystemsNumber Theory37A17Some applications of homogeneous dynamics to number theorytext